In this paper, we consider a stochastic Kawasaki disease model, which is perturbed by both white noise and color noise. The sufficient condition for the existence of a unique ergodic stationary distribution is established by using Khasminskii’s theorem and constructing stochastic Lyapunov functions with regime switching. A brief summary is given at the end of this paper.

中文翻译：

---

马尔可夫切换的随机川崎病模型的平稳分布

在本文中，我们考虑了随机的川崎病模型，该模型同时受白噪声和色噪声的干扰。通过使用Khasminskii定理并构造带有状态切换的随机Lyapunov函数，为存在唯一的遍历平稳分布的充分条件建立了条件。本文末尾作了简要总结。